Megaminx
Solution
by Kurt Endl.

Fast Forward to:
Section 1: The Objectives
Section 2: The Elementary Operations
Section 3: Construction of the North Pole Cap
Section 4: Setting the Northern Equatorial Edges
Section 5: Setting the Northern Equatorial Corners (current)
Section 6: Setting the Middle Equatorial Edges
Section 7: Setting the Southern Equatorial Edges
Section 8: Setting the South Pole Edges
Section 9: Placing the Southern Equatorial Corners
Section 10: Placement of the South Pole Corners
Section 11: Orientation of the Southern Equatorial and South Pole Corners

5. Setting the northern equatorial corners

This task is pretty easy. By turning the South Pole cap and some intersecting caps, you can always place such a corner. If it still needs to be oriented, just perform one of the obvious operations below.

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